 Integration Questions/problems   1.  The diagram below, not drawn to scale shows part of the curve y = x2+5 and the line y = 8-2x. ### Approximation of area Questions and Answers

Approximation of area Questions   1.  Find the area under the graph of between and. Using the mid ordinate rule with two trapezia.   (3mks) Differentiation Questions   1.  A particle moves in a straight line from a fixed point. Its velocity Vm/s after t seconds is given by calculate ### Linear programming Questions and Answers

Linear programming Questions   1.  A tailoring business makes two types of garments A and B. Garment A requires 3 metres of  material while garment ### Longitudes and latitudes Questions and Answers

Longitudes and latitudes Questions 1.  A globe representing the earth has a radius of 0.2m. Points P (600N, 1400E) and Q (600N, 1200W) are marked ### Three-dimensional geometry Questions and Answers

Three-dimensional geometry Questions 1.  The figure below represents a plan of a roof with a rectangular base ABCD. AB = 20cm and BC=12cm. the ridge ### Trigonometric ratios 3 Questions and Answers

Trigonometric ratios 3 Questions   1.  Complete the table below by filling in the blank spaces.   X0 00 300 600 900 1200 1500 1800 Loci Questions 1.  Using a ruler and a pair of compasses only, Construct a triangle ABC such that angle ABC = 135oC, AB = 8.2cm ### Statistics II Questions and Answers

Statistics II Questions 1.  The table below shows the number of defective bolts from a sample of 40 No of bolts 0 1 2 3 ### Matrices and Transformations Questions and Answers

Matrices and Transformations Questions   1.  a) (i) On the grid provided, with the same scale on both axes, draw the square S whose vertices ### Graphical Methods Questions and Answers

Graphical Methods Questions   1.  The equation of a circle is given as 2×2 + 2y2 – 8x + 5y + 10 = 0. Find ### Compound proportions, mixtures and rates of work Questions

Compound proportions, mixtures and rates of work Questions   1.  Naliaka bought maize and beans from a wholesaler. She mixed the maize and beans in Probability Questions   1.  During inter-school competitions, rugby and football teams from Ranje sec school took part. The probability that the rugby would win their ### Binominal expansion Questions and Answers

Binominal expansion Questions 1.  a) Using binomial expansion, determine the first five terms of the expansion:  (2mks)  b) Use the expansion above to evaluate ### Vectors 2 Questions and Answers

Vectors 2 Questions 1.  In the figure below E is the mid point of BC. AD:DC = 3:2 and F is the meeting point of ### Sequence and series Questions and Answers

Sequence and series Questions   1.  The six exterior angles of a hexagon form an arithmetic progression. if the smallest angle is 150, find the